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Finding the Fourth Proportional to 64,814.57, 97,221.86 and 15,566.57

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Solution

The fourth proportional to 64,814.57, 97,221.86 and 15,566.57 is: 23,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,814.57 : 97,221.86 = 15,566.57 : x
  2. Step 2: Convert to fraction form
    64,814.57/97,221.86 = 15,566.57/x
  3. Step 3: Cross multiply
    64,814.57x = 97,221.86 × 15,566.57
  4. Step 4: Simplify right side
    64,814.57x = 1,513,410,325.28
  5. Step 5: Solve for x
    x = 1,513,410,325.28/64,814.57
  6. Step 6: Final answer
    x = 23,349.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.